Réponse :
76
A = 1/5 x -4/3 + 7/2
A = -4/15 + 7/2 = (-4x2)/(15x2) + (7x15)/(2x15) = -8/30 + 105/30 = 97/30
B = 4/5 : (-3/7) - 7/10
B = 4/5 x 7/-3 - 7/10 = 28/15 - 7/10 = 280/150 - 105/150 = 175/150 = 35/30
C = 13/7 + (-8/7) : (-4/5)
C = 13/7 - 8/7 : (-4/5) = 5/7 x 5/-4 = 25/-28
D = 7/3 + 3/2 x -10/21
D = 7/3 - 30/42 = (14x7)/(14x3) - 30/42 = 98/ 42 - 30/42 = 58/42 = 29/21
E = 5/8 + (-3/4) : (-9/16) = 5/8 - (3x2)/(4x2) : (-9/16) = 5/8 - 6/8 : (-9/16) = -1/8 x 16/-9 = 16/72 = (4x4)/(4x18) = (2x2)/(2x9) = 2/9
F = 6/5 - (-1/9) x (-3/4)
F = 6/5 - 3/36 = 6/5 - 1/12 = (12x6)/(5x12) - (1x6)/(12x5) = 72/60 - 6/60 = 66/60 = (6x11)/(6x10) = 11/10
77
A = (3/2 + 3/5)(5/4 - 4/3)
A = [(3x5)/(2x5) + (3x2)/(5x2)] [(5x3)/(4x3) - (4x4)/(3x4)] = [(15:10) + (6/10)] + [(15/12) -(16/12)] = (9/10) (-1/12) = -9/120 = (-3x3)/(3x40= = -3/40
B = (4/3 - 5/2) : (-2/3 + 3/4)
B = [(4x2)/(2x3) - (5x3)/(2x3)] : [(-2x4)/(3x4) + (3x3)/(4x3)] = [(8/6 - (15/6)] : [(-8/12) + (9/12)] = (7/6) : (1/12) = (7/6) x (12) = 84/12 = 7
C = 3/2 + 3/5 x 5/4 - 4/3
C = [(3x5/2x5) + (3x2)/(5x2)] x 5/4 - 4/3
C = [(15/10) + (6/15)] x 5/4 - 4/3
C = (9/19 x 5/4) - 4/3
C = 45/76 - 4/3
C = (45x3)/(76x3) - (4x76)/(3x76) = 135/228 - 304/228 = 169/228
D = 4/3 - 5/2 : (-2/3) + 3/4
D = [(4x2)/(3x2) - (5x3)/(2x3)] : [(-2x4)/(3x4) + (3x3)/(4x3)]
D = [(8/6) - (15/6)] : [(-8/12) + (9/12)]
D = -7/6 x 12/-1 = 84/6 = 14
Explications étape par étape
